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2018•ITM Web of ConferencesOpen access

Representation of the Matrix for Conversion between Triangular Bezier Patches and Rectangular Bezier Patches

Pembe Sabancıgil, Mustafa Kara

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Abstract

In this paper we studied Bezier surfaces that are very famous techniques and they are widely used in the area of Computer Aided Geometric Design. Mainly there are two kinds of Bezier surfaces which are classified as rectangular and triangular Bezier patches. In this paper we will give a simple representation for the conversion matrix which converts one type to another type in one step.

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What this paper is about

In this paper we studied Bezier surfaces that are very famous techniques and they are widely used in the area of Computer Aided Geometric Design. Mainly there are two kinds of Bezier surfaces which are classified as rectangular and triangular Bezier patches. In this paper we will give a simple representation for the conversion matrix which converts one type to another type in one step.

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Available abstract

In this paper we studied Bezier surfaces that are very famous techniques and they are widely used in the area of Computer Aided Geometric Design. Mainly there are two kinds of Bezier surfaces which are classified as rectangular and triangular Bezier patches. In this paper we will give a simple representation for the conversion matrix which converts one type to another type in one step.

Key concepts: Bézier curve, Bézier surface, Representation (politics), Matrix representation, Matrix (chemical analysis), Mathematics, Simple (philosophy), Computer science

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Representation of the Matrix for Conversion between Triangular Bezier Patches and Rectangular Bezier Patches — Research Paper | ScholarLens