Peter Schröder

Details der Publikationsliste

Zeitraum

1993 - 2009

Anzahl

127

Co-Autoren

Caltech Interactive Multiresolution Mesh Editing (2009)

Denis Zorin, Peter Schröder

We describe a multiresolution representation for meshes based on subdivision, which is a natural extension of the existing patch-based surface representations. Combining subdivision and the smoothing...

Building Your Own Wavelets at Home (2009)

Wim Sweldens, Peter Schröder

Wavelets have been making an appearance in many pure and applied areas of science and engineering. Computer graphics with its many and varied computational problems has been no exception to this...

Abstract Surface Drawing (2009)

Steven Schkolne, Peter Schröder

We present Surface Drawing, a medium which provides direct control over the creation of a wide range of intricate shapes. Surface Drawing addresses several key issues in creative expression and...

Consistent Mesh Parameterizations Emil Praun (2008)

Wim Sweldens, Peter Schröder

Figure 1: When given a set of head models an obvious shape to compute is their average. In general the connectivity and sampling patterns of the models are different and computing the average is non...

Assembling and Rearranging Digital Objects in Physical Space with Tongs, a Gluegun, and a Lightsaber (2008)

Steven Schkolne, Peter Schröder, Steven Schkolne

We present an interface for the arrangement of objects in three-dimensional space. Physical motions of the user are mapped to interface commands through tangible props. Tongs move objects freely, a...

Caltech (2008)

Wim Sweldens, Peter Schröder, Lawrence Cowsar, David Dobkin

We construct smooth parameterizations of irregular connectivity triangulations of arbitrary genus 2-manifolds. Our algorithm uses hierarchical simplification to efficiently induce a parameterization...

Abstract Interpolating Subdivision for Meshes with Arbitrary Topology (2008)

Denis Zorin, Peter Schröder, Wim Sweldens

Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is...

circulation-preserving, simplicial fluids (2008)

Sharif Elcott, Yiying Tong, Eva Kanso, Peter Schröder, Mathieu Desbrun

Visual quality, low computational cost, and numerical stability are foremost goals in computer animation. An important ingredient in achieving these goals is the conservation of fundamental motion...

Lecturers (2008)

Organizers Denis Zorin, Peter Schröder Caltech, Denis Zorin, Tony Derose, Adi Levin, Peter Schröder, ...

Morning Session: Introductory Material The morning section will focus on the foundations of subdivision, starting with subdivision curves and moving on to surfaces. We will review and compare a...

circulation-preserving, simplicial fluids (2008)

Sharif Elcott, Yiying Tong, Eva Kanso, Peter Schröder, Mathieu Desbrun

Visual quality, low computational cost, and numerical stability are foremost goals in computer animation. An important ingredient in achieving these goals is the conservation of fundamental motion...

Caltech (2008)

Ilja Friedel, Peter Schröder, Mathieu Desbrun

We introduce a novel approach for the construction of spherical parameterizations based on energy minimization. The energies are derived in a general manner from classic formulations well known in...

Topic: “High Quality Surface Generation and Efficient Multiresolution Editing Based on Triangle Meshes” (2008)

Senior Researcher, Advisor Prof, Leif Kobbelt, Rwth Aachen, Co-advisor Prof, Peter Schröder

04/1999 M.Sc. in Mathematics (Dipl. Math., summa cum laude) University of Erlangen-Nürnberg, Germany. 10/1994 – 04/1999 Studies of Mathematics and Computer Science University of...

Graphics, and Image Processing, 44(1):1–29, 1988. (2008)

M. Alexa, J. Behr, D. Cohen-or, S. Fleishman, D. Levin, Rajit L. Bajaj, ...

based contour interpolation. In Proc. 14th Symp. Discrete Algorithms, pages

Variational Normal Meshes ILJA FRIEDEL Caltech and (2008)

Andrei Khodakovsky, Peter Schröder

Hierarchical representations of surfaces have many advantages for digital geometry processing applications. Normal meshes are particularly attractive since their level to level displacements are in...

Abstract (2008)

Wavelet Radiosity, Steven J. Gortler, Peter Schröder, Michael F. Cohen, Pat Hanrahan

Radiosity methods have been shown to be an effective means to solve the global illumination problem in Lambertian diffuse environments. These methods approximate the radiosity integral equation by...

Quantum Monte Carlo on Graphical Processing Units (2008)

Amos Anderson William, A. Goddard Iii, Peter Schröder

Quantum Monte Carlo (QMC) is among the most accurate methods for solving the time independent Schrödinger equation. Unfortunately, the method is very expensive and requires a vast array of computing...

3D Bridge Construction (2008)

Yuan Xie, Mentor Dr, Peter Schröder, Steven Schkolne

In the field of architecture, tangible virtual reality interfaces allow architects to design and construct large complex structures in a three-dimensional space, and interact with the 3D models using...

Abstract (2008)

Wavelet Radiosity, Steven J. Gortler, Peter Schröder, Michael F. Cohen, Pat Hanrahan

Radiosity methods have been shown to be an effective means to solve the global illumination problem in Lambertian diffuse environments. These methods approximate the radiosity integral equation by...

Eurographics Symposium on Geometry Processing (2005) (2008)

M. Desbrun, Desbrun Pottmann Editors, Nathan Litke, Marc Droske, Martin Rumpf, Peter Schröder

Establishing a correspondence between two surfaces is a basic ingredient in many geometry processing applications. Existing approaches, which attempt to match two meshes directly in 3D, can be...

http://multires.caltech.edu/pubs/sqrt3.pdf (submitted for publication) Composite Primal/Dual (2008)

Subdivision Schemes Peter, Peter Oswald, Peter Schröder

We present new families of primal and dual subdivision schemes for triangle meshes and # 3-refinement. The proposed schemes use two simple local rules which cycle between primal and dual meshes a...

An Out-of-core Algorithm for Isosurface Topology (2008)

Simplification Zo Wood, Zoë Wood, Peter Schröder

this paper we present an e#cient method for removing handles in an isosurface. Our algorithm makes an axis-aligned sweep through the volume to locate handles, compute their sizes, and selectively...

Open Data for Global Science (2008)

Uhlir, Paul, Schröder, Peter

The global science system stands at a critical juncture. On the one hand, it is overwhelmed by a hidden avalanche of ephemeral bits that are central components of modern research and of the emerging...

Open Data for Global Science (2008)

Uhlir, Paul, Schröder, Peter

The global science system stands at a critical juncture. On the one hand, it is overwhelmed by a hidden avalanche of ephemeral bits that are central components of modern research and of the emerging...

Igor Guskov ∗ Caltech Submitted for Publication, January 2000 (2007)

Normal Meshes, Kiril Vidimče, Wim Sweldens, Peter Schröder

Normal meshes are new fundamental surface descriptions inspired by differential geometry. A normal mesh is a multiresolution mesh where each level can be written as a normal offset from a coarser...

Abstract Interpolating Subdivision for Meshes with Arbitrary Topology (2007)

Denis Zorin, Peter Schröder, Wim Sweldens

Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is...

Textures and Radiosity: (2007)

Controlling Emission And, Reid Gershbein, Peter Schröder, Pat Hanrahan

In this paper we discuss the efficient and accurate incorporation of texture maps into a hierarchical Galerkin radiosity algorithm. This extension of the standard algorithm allows the use of textures...

Constructing Variationally Optimal Curves using Subdivision (2007)

Leif Kobbelt, Peter Schröder

Subdivision is a powerful paradigm for the generation of curves and surfaces. It is easy to implement, computationally efficient, and useful in a variety of applications because of its intimate...

Construction and manipulation of DNA tiles in free space ABSTRACT (2007)

Mentor Prof, Peter Schröder, Steven Schkolne

Virtual reality (VR) systems are used to create, display, and interact with virtual objects in space. They create an illusion of reality in 3-dimensions (3D) by providing a specific collection of...

Consistent Mesh Parameterizations Emil Praun (2007)

Wim Sweldens, Peter Schröder

Figure 1: When given a set of head models an obvious shape to compute is their average. In general the connectivity and sampling patterns of the models are different and computing the average is non...

(submitted for publication) The GPU as Numerical Simulation Engine (2007)

Jeff Bolz, Ian Farmer, Eitan Grinspun, Peter Schröder

Many computer graphics applications require high-intensity numerical simulation. The question arises whether such computations can be performed efficiently on the GPU, which has emerged as a full...

and (2007)

Andrei Khodakovsky, Pierre Alliez, Peter Schröder

Encoders for triangle mesh connectivity based on enumeration of vertex valences are among the best reported to date. They are both simple to implement and report the best compressed file sizes for a...

Caltech Discrete Shells Mathieu Desbrun (2007)

Anil N. Hirani, Peter Schröder

Figure 1: Composite of 7 frames from a simulation with our thin-shell simulator as a hat is hitting the floor and tumbling to the right. In this paper we introduce a discrete shell model describing...

Mathieu Desbrun USC (2007)

Haeyoung Lee, Peter Schröder, Octree Level

explicit geometry is encoded. Explicit geometry bits are only associated with the final resolution level. Distortions are relative L 2 errors measured by Metro [Cignoni et al. 1998], normalized to...

(submitted for publication) Composite Primal/Dual √ 3-Subdivision Schemes (2007)

Peter Oswald, Peter Schröder

We present new families of primal and dual subdivision schemes for triangle meshes and √ 3-refinement. The proposed schemes use two simple local rules which cycle between primal and dual meshes a...

Caltech Discrete Shells Mathieu Desbrun (2007)

D. Breen, M. Lin (editors, Eitan Grinspun, Anil N. Hirani, Peter Schröder

In this paper we introduce a discrete shell model describing the behavior of thin flexible structures, such as hats, leaves, and aluminum cans, which are characterized by a curved undeformed...

and (2007)

Andrei Khodakovsky, Pierre Alliez, Peter Schröder

Encoders for triangle mesh connectivity based on enumeration of vertex valences are among the best reported to date. They are both simple to implement and report the best compressed file sizes for a...

Caltech (2007)

Wim Sweldens, Peter Schröder, Lawrence Cowsar, David Dobkin

We construct smooth parameterizations of irregular connectivity triangulations of arbitrary genus 2-manifolds. Our algorithm uses hierarchical simplification to efficiently induce a parameterization...

University of Erlangen–Nürnberg Abstract (2007)

Leif Kobbelt, Peter Schröder

Subdivision is a powerful paradigm for the generation of curves and surfaces. It is easy to implement, computationally efficient, and useful in a variety of applications because of its intimate...

Caltech (2007)

Desbrun Mark Meyer, Peter Schröder, Alan H. Barr

In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven...

and (2007)

Andrei Khodakovsky, Pierre Alliez, Peter Schröder

Encoders for triangle mesh connectivity based on enumeration of vertex valences are among the best reported to date. They are both simple to implement and report the best compressed file sizes for a...

Consistent Mesh Parameterizations Emil Praun (2007)

Wim Sweldens, Peter Schröder

Figure 1: When given a set of head models an obvious shape to compute is their average. In general the connectivity and sampling patterns of the models are different and computing the average is non...

Submitted for publication Discrete Differential-Geometry Operators for Triangulated 2-Manifolds (2007)

Mark Meyer, Mathieu Desbrun, Peter Schröder, Alan H. Barr

This paper provides a unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We present a...

Igor Guskov Caltech (2007)

Normal Meshes, Kiril Vidimče, Wim Sweldens, Peter Schröder

Normal meshes are new fundamental surface descriptions inspired by differential geometry. A normal mesh is a multiresolution mesh where each level can be written as a normal offset from a coarser...

Caltech (2007)

Mathieu Desbrun, Mathieu Desbrun, Mark Meyer, Mark Meyer, Peter Schröder, Peter Schröder, ...

In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven...

C¹-continuous Terrain Reconstruction from Sparse Contours (2007)

Kai Hormann, Salvatore Spinello, Peter Schröder

Contour lines from topographic maps are still the most common form of elevation data for the Earth's surface and in the case of historical landscapes, they often are the only available source of...

Caltech (2007)

Desbrun Mark Meyer, Peter Schröder, Alan H. Barr

In this paper, we develop methods to rapidly remove rough features from irregularly triangulated data intended to portray a smooth surface. The main task is to remove undesirable noise and uneven...

Subdivision-Based Surface Representations (2007)

Denis Zorin, Michael Holst, Peter Schröder

Subdivision can be thought of as a natural extension of existing patch-based surface representations. In this view, subdivision algorithms effectively bridge the gap between patchbased and polygonal...

Variational Normal Meshes ILJA FRIEDEL Caltech and (2007)

Andrei Khodakovsky, Peter Schröder

Hierarchical representations of surfaces have many advantages for digital geometry processing applications. Normal meshes are particularly attractive since their level to level displacements are in...

Die biologische Bedeutung des Flavonoids Epicatechin im Schutz vor Peroxynitrit (2007)

Schröder, Peter

Der Entzündungsmediator Peroxynitrit wird im Organismus aus Stickstoffmonoxid und Superoxidradikalanionen gebildet und dient der Abwehr eindringender Mikro-organismen, basierend auf seiner stark...

Design of tangent vector fields (2007)

Matthew Fisher, Peter Schröder

Tangent vector fields are an essential ingredient in controlling surface appearance for applications ranging from anisotropic shading to texture synthesis and non-photorealistic rendering. To achieve...

Multiscale Representations for Manifold-Valued Data (2005)

Ur Rahman, Inam, Drori, Iddo, Stodden, Victoria C., Donoho, David L., Schröder, Peter

We describe multiscale representations for data observed on equispaced grids and taking values in manifolds such as the sphere $S^2$, the special orthogonal group $SO(3)$, the positive definite...

Multilevel Solvers for Unstructured Surface Meshes (2005)

Aksoylu, Burak, Khodakovsky, Andrei, Schröder, Peter

Parameterization of unstructured surface meshes is of fundamental importance in many applications of digital geometry processing. Such parameterization approaches give rise to large and exceedingly...

Discrete Willmore flow (2005)

Er I. Bobenko, Peter Schröder, Tu Berlin Caltech

The Willmore energy of a surface, � (H 2 − K)dA, as a function of mean and Gaussian curvature, captures the deviation of a surface from (local) sphericity. As such this energy and its associated...

Discrete Conformal Mappings via Circle Patterns (2005)

Liliya Kharevych, Boris Springborn, Tu Berlin, Peter Schröder

We introduce a novel method for the construction of discrete conformal mappings from (regions of) embedded meshes to the plane. Our approach is based on circle patterns, i.e., arrangements of...

Eurographics Symposium on Geometry Processing (2005) (2005)

Desbrun Pottmann Editors, Er I. Bobenko, Peter Schröder, Tu Berlin Caltech

The Willmore energy of a surface, -K)dA, as a function of mean and Gaussian curvature, captures the deviation of a surface from (local) sphericity. As such this energy and its associated gradient...

Unconstrained Spherical Parameterization (2005)

Ilja Friedel, Peter Schröder, Mathieu Desbrun

this paper, we present a straightforward technique for easing the computation of spherical parameterizations by a simple modification of traditional planar parameterization methods: our spherical...

Multiscale Representations For Manifold-Valued (2005)

Data Inam Ur, Inam Ur Rahman, Iddo Drori, Peter Schröder, Abstract We

We describe multiscale representations for data observed on equispaced grids and taking values in manifolds such as: the sphere S , the special orthogonal group SO(3), the positive definite matrices...

Unconstrained spherical parameterization (2005)

Ilja Friedel, Peter Schröder, Mathieu Desbrun

We introduce a novel approach for the construction of spherical parameterizations based on energy minimization. The energies are derived in a general manner from classic formulations well known in...

Removing excess topology from isosurfaces (2004)

Zoe Wood, Hugues Hoppe, Peter Schröder

Many high-resolution surfaces are created through isosurface extraction from volumetric representations, obtained by 3D photography, CT, or MRI. Noise inherent in the acquisition process can lead to...

Sparse matrix solvers on the GPU: conjugate gradients and multigrid (2003)

Jeff Bolz, Ian Farmer, Eitan Grinspun, Peter Schröder

Permission to make digital/hard copy of part of all of this work for personal or classroom use is granted without fee provided that the copies are not made or distributed for profit or commercial...

Multilevel solvers for unstructured surface meshes (2003)

Burak Aksoylu, Andrei Khodakovsky, Peter Schröder

Abstract. Parameterization of unstructured surface meshes is of fundamental importance in many applications of Digital Geometry Processing. Such parameterization approaches give rise to large and...

Sparse Matrix Solvers on the GPU: Conjugate Gradients and Multigrid (2003)

Jeff Bolz Ian, Ian Farmer, Eitan Grinspun, Peter Schröder

Many computer graphics applications require high-intensity numerical simulation. We show that such computations can be performed efficiently on the GPU, which we regard as a full function streaming...

citizen of Germany accepted on the recommendation of (2003)

Mark Pauly, Prof Dr, Markus Gross, Prof Dr, Leif Kobbelt, Prof Dr, ...

3D geometry has become increasingly popular as a new form of digital media. Similar to other types of media data, i.e., sound, images, and video, this requires tools to acquire, store, process, edit,...

Progressive Encoding of Complex Isosurfaces (2003)

Haeyoung Lee Usc, Haeyoung Lee, Peter Schröder

We present a progressive encoding technique specifically designed for complex isosurfaces. It achieves better rate distortion performance than all standard mesh coders, and even improves on all...

you give me energy for the (2003)

Eitan Grinspun, Adi Levin, Jerry Marsden, Peter Schröder, Denis Zorin

your direction, confidence and enthusiasm is a tremendous gift.

Near-Optimal Connectivity Encoding of 2-Manifold Polygon Meshes (2002)

Khodakovsky, Andrei, Alliez, Pierre, Desbrun, Mathieu, Schröder, Peter

Encoders for triangle mesh connectivity based on enumeration of vertex valences are among the best reported to date. They are both simple to implement and report the best compressed file sizes for a...

Near-Optimal Connectivity Encoding of 2-Manifold Polygon Meshes (2002)

Khodakovsky, Andrei, Alliez, Pierre, Desbrun, Mathieu, Schröder, Peter

Encoders for triangle mesh connectivity based on enumeration of vertex valences are among the best reported to date. They are both simple to implement and report the best compressed file sizes for a...

Near-Optimal Connectivity Encoding of 2-Manifold Polygon Meshes (2002)

Khodakovsky, Andrei, Alliez, Pierre, Desbrun, Mathieu, Schröder, Peter

Encoders for triangle mesh connectivity based on enumeration of vertex valences are among the best reported to date. They are both simple to implement and report the best compressed file sizes for a...

Integrated modeling, finite-element analysis, and engineering design for thin-shell structures using subdivision (2002)

Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, Michael Ortiz, Peter Schröder

Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industries. Traditionally,...

Integrated Modeling, Finite-Element Analysis, and Engineering Design for Thin-Shell Structures using Subdivision (2002)

Fehmi Cirak, Michael J. Scott, Erik K. Antonsson, Michael Ortiz, Peter Schröder

Many engineering design applications require geometric modeling and mechanical simulation of thin flexible structures, such as those found in the automotive and aerospace industries. Traditionally,...

Discrete Dierential-Geometry Operators (2002)

For Triangulated Manifolds, Mark Meyer, Peter Schröder, Alan H. Barr

This paper proposes a unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We present a...

Discrete Dierential-Geometry Operators (2002)

For Triangulated Manifolds, Mark Meyer, Mathieu Desbrun, Peter Schröder, Alan H. Barr

This paper proposes a unified and consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures on arbitrary triangle meshes. We present a...

Hybrid meshes: Multiresolution using regular and irregular refinement (2002)

Igor Guskov, Andrei Khodakovsky, Peter Schröder, Wim Sweldens

A hybrid mesh is a multiresolution surface representation that combines advantages from regular and irregular meshes. Irregular operations allow a hybrid mesh to change topology throughout the...

Mathieu Desbrun U. of So. Cal. (2002)

Zoë Wood (caltech, Peter Schröder (caltech, Zoë Wood, Peter Schröder

Many high-resolution surfaces are created through isosurface extraction from volumetric representations, obtained by 3D photography, CT, or MRI. Noise inherent in the acquisition process can lead to...

A Unified Framework for Primal/Dual Quadrilateral Subdivision Schemes (2001)

Denis Zorin, Peter Schröder

Quadrilateral subdivision schemes come in primal and dual varieties, splitting faces or respectively vertices. The scheme of Catmull-Clark is an example of the former, while the Doo-Sabin scheme...

Normal bounds for subdivision-surface interference detection (2001)

Eitan Grinspun, Peter Schröder

Figure 1: Collision detection in a thin-shell simulation. Given a control mesh of a bent tube, our algorithm identifies interfering regions on the limit surface up to a user-specified precision....

Natural hierarchical refinement for finite element methods (2001)

Petr Krysl, Eitan Grinspun, Peter Schröder

element method SUMMARY Current formulations of adaptive finite element mesh refinement seem simple enough, but their implementations prove to be a formidable task. We offer an alternative point of...

A Unified Framework for Primal/Dual Quadrilateral Subdivision Schemes (2001)

Denis Zorin, Peter Schröder

Most commonly used subdivision schemes are of primal type, i.e., they split faces. Examples include the schemes of Catmull-Clark (quadrilaterals) and Loop (triangles). In contrast, dual subdivision...

A Unified Framework for Primal/Dual Quadrilateral Subdivision Schemes (2001)

Denis Zorin, Peter Schröder

Quadrilateral subdivision schemes come in primal and dual varieties, splitting faces or respectively vertices. The scheme of Catmull-Clark is an example of the former, while the Doo-Sabin scheme...

Subdivision surfaces: A new paradigm for thin-shell finite-element analysis (2000)

Fehmi Cirak, Michael Ortiz, Peter Schröder

We develop a new paradigm for thin-shell finite-element analysis based on the use of subdivision surfaces for: i) describing the geometry of the shell in its undeformed configuration, and ii)...

Curvature integrability of subdivision surfaces (2000)

Ulrich Reif, Peter Schröder

We examine the smoothness properties of the principal curvatures of subdivision surfaces near irregular points. In particular we give an estimate of their Lp class based on the eigenstructure of the...

Anisotropic Feature-Preserving Denoising of Height Fields and Bivariate Data (2000)

Mathieu Desbrun, Mark Meyer, Peter Schröder, Alan H. Barr

In this paper, we present an efficient way to denoise bivariate data like height fields, color pictures or vector fields, while preserving edges and other features. Mixing surface area minimization,...

Curvature Smoothness of Subdivision Surfaces (2000)

Ulrich Reif, Peter Schröder

We examine the smoothness properties of the principal curvatures of subdivision surfaces near extraordinary points. In particular we give an estimate of their L p class based on the eigen structure...

Semi-Regular Mesh Extraction from Volumes (2000)

Zoe J. Wood, Mathieu Desbrun, Peter Schröder, David Breen

We present a novel method to extract iso-surfaces from distance volumes. It generates high quality semi-regular multiresolution meshes of arbitrary topology. Our technique proceeds in two stages....

Discrete Differential-Geometry Operators in nD (2000)

Mathieu Desbrun, Mark Meyer, Peter Schröder, Alan H. Barr

This paper provides a consistent set of flexible tools to approximate important geometric attributes, including normal vectors and curvatures, on arbitrary 2D and 3D meshes embedded in n dimensions....

Trimming for Subdivision Surfaces (2000)

Nathan Litke, Adi Levin, Peter Schröder

Trimming is an important primitive operation in geometric modeling. It is also the root of many numerical and topological problems in modern NURBS based CAGD systems. In this paper we introduce a new...

Normal Meshes (2000)

Igor Guskov, Normal Meshes, Kiril Vidimce, Wim Sweldens, Peter Schröder

Normal meshes are new fundamental surface descriptions inspired by differential geometry. A normal mesh is a multiresolution mesh where each level can be written as a normal offset from a coarser...

Anisotropic Feature-Preserving Denoising (2000)

Of Height Fields, Mathieu Desbrun, Mark Meyer, Peter Schröder, Alan H. Barr

In this paper, we present an efficient way to denoise bivariate data like height fields, color pictures or vector fields, while preserving edges and other features. Mixing surface area minimization,...

Subdivision Surfaces: A New Paradigm For Thin-Shell Finite-Element Analysis (2000)

Fehmi Cirak, Michael Ortiz, Peter Schröder

We develop a new paradigm for thin-shell finite-element analysis based on the use of subdivision surfaces for: i) describing the geometry of the shell in its undeformed configuration, and ii)...

Progressive Geometry Compression (2000)

Andrei Khodakovsky, Peter Schröder, Wim Sweldens

We propose a new progressive compression scheme for arbitrary topology, highly detailed and densely sampled meshes arising from geometry scanning. We observe that meshes consist of three distinct...

Non-linear mechanics and collisions for subdivision surfaces. Technical report, Caltech MultiRes Modeling Group (1999)

Eitan Grinspun, Fehmi Cirak, Peter Schröder, Michael Ortiz

Numerically accurate simulation of the mechanical behavior of thin flexible structures is important in application areas ranging from engineering design to animation special effects. Subdivision...

Surface drawing (1999)

Steven Schkolne, Peter Schröder

We present Surface Drawing, a medium which provides direct control over the creation of a wide range of intricate shapes. Surface Drawing addresses several key issues in creative expression and...

Interactive animation of structured deformable objects (1999)

Mathieu Desbrun, Mathieu Desbrun, Peter Schröder, Peter Schröder, Alan Barr, Alan Barr

In this paper, we propose a stable and efficient algorithm for animating mass-spring systems. An integration scheme derived from implicit integration allows us to obtain interactive realistic...

Multiresolution Mesh Morphing (1999)

Aaronw Lee Princeton, David Dobkin, Wim Sweldens, Peter Schröder

We present a new method for user controlled morphing of two homeomorphic triangle meshes of arbitrary topology. In particular we focus on the problem of establishing a correspondence map between...

Wavelets on Irregular Point Sets (1999)

Ingrid Daubechies, Igor Guskov, Peter Schröder, Wim Sweldens

this article we review techniques for building and analyzing wavelets on irregular point sets in one and two dimensions. We discuss current results both on the practical and theoretical side. In...

Wavelets on Irregular Point Sets (1999)

Ingrid Daubechies, Igor Guskov, Peter Schröder, Wim Sweldens

In this article we review techniques for building and analyzing wavelets on irregular point sets in one and two dimensions. We discuss current results both on the practical and theoretical side. In...

Multiresolution Signal Processing for Meshes (1999)

Igor Guskov, Wim Sweldens, Peter Schröder

We generalize basic signal processing tools such as downsampling, upsampling, and filters to irregular connectivity triangle meshes. This is accomplished through the design of a non-uniform...

Multiresolution Signal Processing for Meshes (1999)

Igor Guskov, Wim Sweldens, Peter Schröder

We generalize basic signal processing tools such as downsampling, upsampling, and filters to irregular connectivity triangle meshes. This is accomplished through the design of a non-uniform...

Multiresolution mesh morphing (1999)

David Dobkin, Wim Sweldens, Peter Schröder

Figure 1: Morph sequence between two topologically equivalent triangle meshes. We present a new method for user controlled morphing of two homeomorphic triangle meshes of arbitrary topology. In...

MAPS: Multiresolution Adaptive Parameterization of Surfaces (1998)

Wim Sweldens, Peter Schröder, Lawrence Cowsar, David Dobkin

We construct smooth parameterizations of irregular connectivity triangulations of arbitrary genus 2-manifolds. Our algorithm uses hierarchical simplification to efficiently induce a parameterization...

Subdivision for Modeling and Animation (1998)

Peter Schröder, Peter Schr Oder, Denis Zorin, Tony Derose, David R. Forsey, ...

sis Denis Zorin and Jorg Peters Afternoon Session: Applications and Algorithms The afternoon session will focus on applications of subdivision and the algorithmic issues practitioners need to address...

Interactive Multiresolution Mesh Editing (1997)

Denis Zorin, Peter Schröder, Wim Sweldens

We describe a multiresolution representation for meshes based on subdivision. Subdivision is a natural extension of the existing patch-based surface representations. At the same time subdivision...

Interactive Multiresolution Mesh Editing (1997)

Denis Zorin, Peter Schröder, Wim Sweldens

We describe a multiresolution representation for meshes based on subdivision, which is a natural extension of the existing patch-based surface representations. Combining subdivision and the smoothing...

Wavelets in computer graphics (1996)

Peter Schröder

One of the perennial goals in computer graphics is realism in realtime. Handling geometrically complex scenes and physically faithful descriptions of their appearance and behavior, clashes with the...

Interpolating Subdivision for Meshes with Arbitrary Topology (1996)

Denis Zorin, Peter Schröder, Wim Sweldens

Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is...

Interpolating Subdivision for Meshes with Arbitrary Topology (1996)

Denis Zorin, Peter Schröder, Wim Sweldens

Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is...

Wavelets in Computer Graphics (1996)

Organizers Peter Schroder, Michael Cohen, David Salesin, Tony Derose, Wim Sweldens, Wim Sweldens, ...

ltiresolution Image Querying Charles E. Jacobs, Adam Finkelstein, David H. Salesin Chapter 6: Multiresolution Surfaces for Compression, Display and Editing Tony D. DeRose Chapter 7: Wavelet...

Interpolating Subdivision for Meshes with Arbitrary Topology (1996)

Denis Zorin, Peter Schröder, Wim Sweldens

Subdivision is a powerful paradigm for the generation of surfaces of arbitrary topology. Given an initial triangular mesh the goal is to produce a smooth and visually pleasing surface whose shape is...

Building Your Own Wavelets at Home (1996)

Wim Sweldens, Peter Schröder, Peter Schr Oder

We give an practical overview of three simple techniques to construct wavelets under general circumstances: interpolating subdivision, average interpolation, and lifting. We include examples...

Wavelet Radiosity: Wavelet Methods for Integral Equations (1996)

Peter Schröder

Introduction In this chapter we will explain how wavelets can be used to solve integral equations. The example we use is an important integral equation in graphics, the radiosity equation. The...

Spherical Wavelets: Texture Processing (1995)

Peter Schröder, Peter Schr Oder, Wim Sweldens

: Wavelets are a powerful tool for planar image processing. The resulting algorithms are straightforward, fast, and efficient. With the recently developed spherical wavelets this framework can be...

Spherical Wavelets: Efficiently Representing Functions on the Sphere (1995)

Peter Schröder, Wim Sweldens

Wavelets have proven to be powerful bases for use in numerical analysis and signal processing. Their power lies in the fact that they only require a small number of coefficients to represent general...

Textures and Radiosity: Controlling Emission and Reflection with Texture Maps (1994)

Reid Gershbein, Peter Schröder, Pat Hanrahan

In this paper we discuss the efficient and accurate incorporation of texture maps into a hierarchical Galerkin radiosity algorithm. This extension of the standard algorithm allows the use of textures...

Wavelet Methods for Radiance Computations (1994)

Peter Schröder, Pat Hanrahan

This paper describes a new algorithm to compute radiance in a synthetic environment. Motivated by the success of wavelet methods for radiosity computations we have applied multi wavelet bases to the...

Wavelet Projections for Radiosity (1994)

Peter Schröder, Steven J. Gortler, Michael F. Cohen, Pat Hanrahan

One important goal of image synthesis research is to accelerate the process of obtaining realistic images using the radiosity method. Two important concepts recently introduced are the general...

Wavelet Algorithms For Illumination Computations (1994)

Peter Schröder

One of the core problems of computer graphics is the computation of the equilibrium distribution of light in a scene. This distribution is given as the solution to a Fredholm integral equation of the...

Textures and Radiosity: Controlling Emission and Reflection with Texture Maps (1993)

Reid Gershbein, Peter Schröder, Pat Hanrahan

In this paper we discuss the e#cient and accurate incorporation of texture maps into a hierarchical Galerkin radiosity algorithm. This extension of the standard algorithm allows the use of textures...

Numerical integration for radiosity in the presence of singularities (1993)

Peter Schröder

The radiosity method for computing global illumination in Lambertian environments requires the computation of form factors. These are given by integrals for which some closed form solutions exist. In...

On the Form Factor between Two Polygons (1993)

Peter Schröder, Pat Hanrahan

Form factors are used in radiosity to describe the fraction of diffusely reflected light leaving one surface and arriving at another. They are a fundamental geometric property used for computation....

Wavelet Radiosity (1993)

Wavelet Radiosity, Peter Schröder, Steven J. Gortler, Michael F. Cohen, Pat Hanrahan

Radiosity methods have been shown to be an effective means to solve the global illumination problem in Lambertian diffuse environments. These methods approximate the radiosity integral equation by...

Emission of Volatile Sulfur Compounds from Spruce Trees 1

Rennenberg, Heinz, Huber, Beate, Schröder, Peter, Stahl, Klaus, Haunold, Werner, Georgii, Hans-Walter, ...

Spruce (Picea Abies L.) trees from the same clone were supplied with different, but low, amounts of plant available sulfate in the soil (9.7-18.1 milligrams per 100 grams of soil). Branches attached...

Emission of Volatile Sulfur Compounds from Spruce Trees 1

Rennenberg, Heinz, Huber, Beate, Schröder, Peter, Stahl, Klaus, Haunold, Werner, Georgii, Hans-Walter, ...

Spruce (Picea Abies L.) trees from the same clone were supplied with different, but low, amounts of plant available sulfate in the soil (9.7-18.1 milligrams per 100 grams of soil). Branches attached...