Visibility of surfaces via differential geometry
type: Item
instance of: scholarly article
title: Visibility of surfaces via differential geometry
zbMATH Open document ID: 0724.65009
DOI: 10.1016/0167-8396(90)90042-P
author: Rolf Walter
published in: Computer Aided Geometric Design
publication date: 1990-01-01T00:00:00Z
review text: Geometric surface design has been developed in various branches, especially in the field of approximation theory. The traditional procedures start with discretizations of the surface at an early stage. The method presented by the author may be considered as an alternative and supplement to this, especially when the surfaces come in complicated analytic representations. By using tools of differential geometry one develops a theory for studying the attributes of surfaces like boundaries, silhouettes and intersections. His results are based on the new concept of `sight indices' which control the change of coverings dynamically along arbitrary given curves. The method used is entirely curve oriented, so suitable for most graphic outputs, in particular for plotters.
Mathematics Subject Classification ID: 65D17
Mathematics Subject Classification ID: 65D18
Mathematics Subject Classification ID: 68U05
Mathematics Subject Classification ID: 68U07
zbMATH DE Number: 4195014
zbMATH Keywords: visibility
zbMATH Keywords: surface rendering
zbMATH Keywords: hidden lines
zbMATH Keywords: surface intersections
zbMATH Keywords: boundary curves
zbMATH Keywords: Geometric surface design
zbMATH Keywords: boundaries
zbMATH Keywords: silhouettes
zbMATH Keywords: sight indices
zbMATH Keywords: graphic outputs
reviewed by: Dimitrie D. Stancu
MaRDI profile type: Publication
Wikidata QID: Q115363779
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full work available at URL: 0167-8396(90)90042-p
OpenAlex ID: W1973628496
description: scientific article; zbMATH DE number 4195014