Improved quadratic normal vector interpolation for realistic shading

Lee, Yuan-Chung; Jen, Chein-Wei

doi:10.1007/s003710100111

Cited by 11 publications

(13 citation statements)

References 12 publications

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“…It can be easily incorporated in the method given by Lee and Jen to improve its speed. 3 The algorithm calculates the normals at the six points on a triangle using adaptive normal vector interpolation. 3 The six points comprise of three vertices of a triangle and three mid points of the edges of the triangle as shown in Fig.…”

Section: Hybrid Shading: Bi-quadratic Interpolation Of Intensity Alonmentioning

confidence: 99%

“…3 If the nature of the curve is serpentine, quadratic interpolation is used to determine the normal at the mid-point of the edge. 1 However, if the nature of the curve is arch-type, linear interpolation is used.…”

Section: Hybrid Shading: Bi-quadratic Interpolation Of Intensity Alonmentioning

confidence: 99%

“…The triangle set up cost of Bi-Quadratic Phong shading includes the operations required for computing the six coefficients of the bi-quadratic polynomial used for interpolation. 3 The cost is 99 multiplications, 71 additions and 15 divisions. The per-pixel cost is 38 multiplications, 25 additions and one inverse square root operations.…”

Section: Comparisons Of Cost and Visual Qualitymentioning

confidence: 99%

“…2 Lee and Jen have pointed out that the quadratic normal vector interpolation algorithm has many defects and is unsuited to standard triangle scan conversion. 3 They have, therefore, proposed an algorithm that improves upon the defects and problems of the method. 1 They proposed a bi-quadratic normal vector interpolation method, which performs bi-quadratic normal vector interpolation across a triangle.…”

Section: Introductionmentioning

confidence: 99%

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Fast Hybrid Shading: An Application of Finite Element Methods in 3d Rendering

Singh

Walia

2005

Int. J. Image Grap.

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This paper is an attempt to improve the quality of Gouraud shading with minimum increase in the computation requirements. It presents algorithms for intermediate quality shading i.e. the quality of shading is better than Gouraud shading and nearly comparable to the quality of bi-quadratic Phong shading, at the same time, algorithms are very fast as compared to bi-quadratic Phong shading. Three algorithms are discussed. The first algorithm uses hybrid shading in which bi-quadratic interpolation of intensity is performed on the edges of a triangle and linear interpolation of intensity is performed on the scan line. Hybrid shading, in which bi-quadratic interpolation of normals is performed on the edges and linear interpolation of intensity is performed on the scan line, has been proposed in the second algorithm. In the third algorithm, bi-cubic interpolation of intensity is performed on the edges and linear interpolation of intensity is performed on the scan line. The paper also presents an incremental method for fast calculation of area coordinates and shape functions enhancing the speed of the algorithms.

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Section: Hybrid Shading: Bi-quadratic Interpolation Of Intensity Alonmentioning

confidence: 99%

Section: Hybrid Shading: Bi-quadratic Interpolation Of Intensity Alonmentioning

confidence: 99%

Section: Comparisons Of Cost and Visual Qualitymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Fast Hybrid Shading: An Application of Finite Element Methods in 3d Rendering

Singh

Walia

2005

Int. J. Image Grap.

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“…While other refinement is to employ surface interpolation techniques. While there are a variety of computationally light-weight surface interpolation algorithms [9][10][11][12] in the field of computer graphics, a more stringent criterion is required for high-fidelity CAE applications. In this work, we consider the quartic Bezier patch as it has been established that for G 1 continuity, the minimum degree of the triangular Bezier patch is 4 [13].…”

Section: Introductionmentioning

confidence: 99%

Templatized refinement of triangle meshes using surface interpolation

Kumar

2005

Numerical Meth Engineering

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SUMMARYMesh refinement is an important process with regards to achieving good accuracy for computational simulation and analysis. Currently, there is a lack of a high-fidelity refinement algorithm for the accurate modelling of geometry in the absence of a physical geometric model. This paper focuses on using a surface interpolation procedure based on a quartic triangular Bezier patch to approximate the underlying geometry of a mesh and to determine the locations of new subdivision vertices. A robust methodology is used for feature retention and accurate curve fitting at sharp edges and hard vertices. This extends the applicability of the surface fitting procedure to any arbitrary geometric configuration. The refinement is based on a new 1:9 subdivision scheme and its implementation is discussed in detail. Despite its high order subdivision footprint, computational efficiency is made possible by the effective use of lookup tables.

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A Modified Nielson’s Side-Vertex Triangular Mesh Interpolation Scheme

Man

Tan

2005

Computational Science and Its Applications – ICCSA 2005

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Improved quadratic normal vector interpolation for realistic shading

Cited by 11 publications

References 12 publications

Fast Hybrid Shading: An Application of Finite Element Methods in 3d Rendering

Fast Hybrid Shading: An Application of Finite Element Methods in 3d Rendering

Templatized refinement of triangle meshes using surface interpolation

A Modified Nielson’s Side-Vertex Triangular Mesh Interpolation Scheme

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