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Fast swept volume approximation of complex polyhedral models

Young J. Kim, Gokul Varadhan, Ming C. Lin, Dinesh Manocha
2003 Proceedings of the eighth ACM symposium on Solid modeling and applications - SM '03  
We also present a novel and fast algorithm for computing the signed distance of surface primitives as well as a number of techniques based on surface culling, fast marching level-set methods and rasterization  ...  We present an efficient algorithm to approximate the swept volume (SV) of a complex polyhedron along a given trajectory.  ...  We thank Kenny Hoff for his HAVOC software, Leif Kobbelt for providing us with his Extended Marching Cubes software, and Dan Halperin and the reviewers for their feedback and suggestions.  ... 
doi:10.1145/781606.781613 dblp:conf/sma/KimVLM03 fatcat:ngflfuio7ncazdrkn4zzxizwrq

Fast swept volume approximation of complex polyhedral models

Young J. Kim, Gokul Varadhan, Ming C. Lin, Dinesh Manocha
2003 Proceedings of the eighth ACM symposium on Solid modeling and applications - SM '03  
We also present a novel and fast algorithm for computing the signed distance of surface primitives as well as a number of techniques based on surface culling, fast marching level-set methods and rasterization  ...  We present an efficient algorithm to approximate the swept volume (SV) of a complex polyhedron along a given trajectory.  ...  We thank Kenny Hoff for his HAVOC software, Leif Kobbelt for providing us with his Extended Marching Cubes software, and Dan Halperin and the reviewers for their feedback and suggestions.  ... 
doi:10.1145/781611.781613 fatcat:v35utqhsdnazxbu6pa2vbrflku

Fast swept volume approximation of complex polyhedral models

Young J. Kim, Gokul Varadhan, Ming C. Lin, Dinesh Manocha
2004 Computer-Aided Design  
We also present a novel and fast algorithm for computing the signed distance of surface primitives as well as a number of techniques based on surface culling, fast marching level-set methods and rasterization  ...  We present an efficient algorithm to approximate the swept volume (SV) of a complex polyhedron along a given trajectory.  ...  We thank Kenny Hoff for his HAVOC software, Leif Kobbelt for providing us with his Extended Marching Cubes software, and Dan Halperin and the reviewers for their feedback and suggestions.  ... 
doi:10.1016/j.cad.2004.01.004 fatcat:5sztmpvrhnhpfe6fcvuwtydgp4

Function representation in geometric modeling: concepts, implementation and applications

A. Pasko, V. Adzhiev, A. Sourin, V. Savchenko
1995 The Visual Computer  
Transformations of a defining function are described for the set-theoretic operations, blending, offsetting, bijective mapping, projection, Cartesian product and metamorphosis.  ...  In the implemented interactive modeling system, we use highlevel geometric language that provides extendibility of the modeling system by input symbolic descriptions of primitives, operations and predicates  ...  The authors also wish to acknowledge referees for their helpful comments.  ... 
doi:10.1007/s003710050034 fatcat:volsb5qdgbfythmastzaarbkai

Function representation in geometric modeling: concepts, implementation and applications

A. Pasko, V. Adzhiev, A. Sourin, V. Savchenko
1995 The Visual Computer  
Transformations of a defining function are described for the set-theoretic operations, blending, offsetting, bijective mapping, projection, Cartesian product and metamorphosis.  ...  In the implemented interactive modeling system, we use highlevel geometric language that provides extendibility of the modeling system by input symbolic descriptions of primitives, operations and predicates  ...  The authors also wish to acknowledge referees for their helpful comments.  ... 
doi:10.1007/bf02464333 fatcat:gvyqjknnyfe4lmgaimnlt245k4

Boundary determination for trivariate solids

K.I. Joy, M.A. Duchaineau
Proceedings. Seventh Pacific Conference on Computer Graphics and Applications (Cat. No.PR00293)  
The trivariate tensor-product B-spline solid is a direct extension of the B-spline patch and has been shown to be useful in the creation and visualization of free-form geometric solids.  ...  Visualizing these solid objects requires the determination of the boundary surface of the solid, which is a combination of parametric and implicit surfaces.  ...  Future work in this area is to use these techniques to describe the envelopes of general swept solids.  ... 
doi:10.1109/pccga.1999.803351 dblp:conf/pg/JoyD99 fatcat:2nr5lsbh4facpk47hbftysbdne

Analysis-aware higher order smooth three-dimensional representations: creation, simulation and visualization

Tobias Martin
2012
T h e U n i v e r s i t y o f U t a h G r a d u a t e S c h o o l STATEMENT OF DISSERTATION APPROVAL The dissertation of has been approved by the following supervisory committee members: , Chair ABSTRACT  ...  At the same time, volumetric parameterization is also needed in the Isogeometric Analysis (IA) paradigm, which uses the same parametric space for representing geometry, simulation attributes and solutions  ...  For(a) λ = 0.1 and for (b) λ = 0.8 was used. In both cases = 0.01. . . . . . . . 214 10.1 Our method applied to four representative isosurface visualizations.  ... 
doi:10.26053/0h-hs1m-7n00 fatcat:4xsm7lwhjfhrlcfcqvun2t2z2u