Phong normal interpolation revisited

Overveld, C. W. A. M. van; Wyvill, Brian

doi:10.1145/263834.263849

Cited by 26 publications

(14 citation statements)

References 17 publications

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“…This is a rough measure for the curvedness of the triangular patches. Additionally, the border curves are classified into convex, concave, and inflection, by the directions of the two vertex normals relative to a plane orthogonal to the edge (details in [11,21]). …”

Section: Arbitrary Triangle Meshesmentioning

confidence: 99%

“…As a solution to this problem the option of a quadratic normal variation patch is proposed by the authors of PN triangles [11] who took the idea from [21]. A quadratic function n(u, v, w) is used to compute normals at the evaluation points (u, v, w): The values of n(u, v, w) are then normalized and passed on to the shading process.…”

Section: Separate Normal Interpolation Patchmentioning

confidence: 99%

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A comparison of local parametric C0 Bézier interpolants for triangular meshes

Boschiroli¹,

Fünfzig

Romani

et al. 2011

Computers & Graphics

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Parametric curved shape surface schemes interpolating vertices and normals of a given triangular mesh with arbitrary topology are widely used in computer graphics for gaming and real-time rendering due to their ability to effectively represent any surface of arbitrary genus. In this context, continuous curved shape surface schemes using only the information related to the triangle corresponding to the patch under construction, emerged as attractive solutions responding to the requirements of resource-limited hardware environments. In this paper we provide a unifying comparison of the local parametric C 0 curved shape schemes we are aware of, based on a reformulation of their original constructions in terms of polynomial Bézier triangles. With this reformulation we find a geometric interpretation of all the schemes that allows us to analyse their strengths and shortcomings from a geometrical point of view. Further, we compare the four schemes with respect to their computational costs, their reproduction capabilities of analytic surfaces and their response to different surface interrogation methods on arbitrary triangle meshes with a low triangle count that actually occur in their real-world use.

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Section: Arbitrary Triangle Meshesmentioning

confidence: 99%

Section: Separate Normal Interpolation Patchmentioning

confidence: 99%

A comparison of local parametric C0 Bézier interpolants for triangular meshes

Boschiroli¹,

Fünfzig

Romani

et al. 2011

Computers & Graphics

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“…Phong normal interpolation on surfaces is a well studied problem [19]. As discussed in [19], a common solution for interpolating between two normals consists in applying a linear interpolation (a weighted sum) followed by normalization.…”

Section: Plesmentioning

confidence: 99%

“…As discussed in [19], a common solution for interpolating between two normals consists in applying a linear interpolation (a weighted sum) followed by normalization. In the case of volume rendering, gradients are generally interpolated and normalized on the fly using the available hardware trilinear filter.…”

Section: Plesmentioning

confidence: 99%

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Pre-Integrated Volume Rendering with Non-Linear Gradient Interpolation

Guetat

Ancel

Marchesin

et al. 2010

IEEE Trans. Visual. Comput. Graphics

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Abstract-Shading is an important feature for the comprehension of volume datasets, but is difficult to implement accurately. Current techniques based on pre-integrated direct volume rendering approximate the volume rendering integral by ignoring non-linear gradient variations between front and back samples, which might result in cumulated shading errors when gradient variations are important and / or when the illumination function features high frequencies. In this paper, we explore a simple approach for pre-integrated volume rendering with non-linear gradient interpolation between front and back samples. We consider that the gradient smoothly varies along a quadratic curve instead of a segment in-between consecutive samples. This not only allows us to compute more accurate shaded pre-integrated look-up tables, but also allows us to more efficiently process shading amplifying effects, based on gradient filtering. An interesting property is that the pre-integration tables we use remain two-dimensional as for usual pre-integrated classification. We conduct experiments using a full hardware approach with the Blinn-Phong illumination model as well as with a non-photorealistic illumination model.

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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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Phong normal interpolation revisited

Cited by 26 publications

References 17 publications

A comparison of local parametric C0 Bézier interpolants for triangular meshes

A comparison of local parametric C0 Bézier interpolants for triangular meshes

Pre-Integrated Volume Rendering with Non-Linear Gradient Interpolation

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

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