• Corpus ID: 17155965

Convolution Surfaces in Computer Graphics 3 Modeling with Convolution Surfaces 21 4 Rendering Convolution Surfaces 35 5 Epilogue 47 a Field Functions for Point Primitives 49 C Rats Overview and Command Language 53 List of Figures List of Tables

@inproceedings{Sherstyuk2011ConvolutionSI,
  title={Convolution Surfaces in Computer Graphics 3 Modeling with Convolution Surfaces 21 4 Rendering Convolution Surfaces 35 5 Epilogue 47 a Field Functions for Point Primitives 49 C Rats Overview and Command Language 53 List of Figures List of Tables},
  author={Andrei Sherstyuk},
  year={2011}
}
Contents Title Page i Table of Contents ii List of Figures v List of Tables vii Summary viii Statement ix Acknowledgments x 1 Introduction 1 1.1 A brief history of implicit surfaces and a literature review. . Summary Implicit surfaces obtained by the convolution of mixed dimensional primitives with some potential function , are a generalization of popular implicit surface models: blobs, metaballs and soft objects. These models diier in their choice of potential function but agree upon the use… 
Convolution Surfaces using Volume Bounding
TLDR
A recursive algorithm for object space subdivision of free-form surfaces is described and it is shown that the bounding surfaces are close to the surface of the convolution, which greatly reduces the number of calculations when finding points on the Convolution surface.

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