Essential Mathematics for Games and Interactive Applications

Verth, James Van; Bishop, Lars M.

doi:10.1201/b13171

Cited by 40 publications

(29 citation statements)

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“…There have been several methods for calculating shading, such as Phong interpolation [17], normal-vector interpolation shading [18], and per-fragment lighting [19]. Most of these techniques can be implemented faster than real-time in current graphics hardware.…”

Section: B Lighting Virtual Objectsmentioning

confidence: 99%

Estimation of Environmental Lighting from Known Geometries for Mobile Augmented Reality

Koç

Balcısoy

2013

2013 International Conference on Cyberworlds

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Light source estimation and virtual lighting must be believable in terms of appearance and correctness in augmented reality scenes. As a result of illumination complexity in an outdoor scene, realistic lighting for augmented reality is still a challenging problem. In this paper, we propose a framework based on an estimation of environmental lighting from well-defined objects, specifically human faces. The method is tuned for outdoor use, and the algorithm is further enhanced to illuminate virtual objects exposed to direct sunlight. Our model can be integrated into existing mobile augmented reality frameworks to enhance visual perception.

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Section: B Lighting Virtual Objectsmentioning

confidence: 99%

Estimation of Environmental Lighting from Known Geometries for Mobile Augmented Reality

Koç

Balcısoy

2013

2013 International Conference on Cyberworlds

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“…We employed the three-channel RGB colour format with 8 bits for each channel. To create larger GKUs, it is possible to use four channel colour formats (ARGB) and more than 8 bits per channel [44,45]. The 16-bit RGBA format provides a maximum of 2 64 overlapping incidents.…”

Section: Gku As An Outlier Detection Methodsmentioning

confidence: 99%

Continuous Learning Graphical Knowledge Unit for Cluster Identification in High Density Data Sets

et al. 2016

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Big data are visually cluttered by overlapping data points. Rather than removing, reducing or reformulating overlap, we propose a simple, effective and powerful technique for density cluster generation and visualization, where point marker (graphical symbol of a data point) overlap is exploited in an additive fashion in order to obtain bitmap data summaries in which clusters can be identified visually, aided by automatically generated contour lines. In the proposed method, the plotting area is a bitmap and the marker is a shape of more than one pixel. As the markers overlap, the red, green and blue (RGB) colour values of pixels in the shared region are added. Thus, a pixel of a 24-bit RGB bitmap can code up to 2 24 (over 1.6 million) overlaps. A higher number of overlaps at the same location makes the colour of this area identical, which can be identified by the naked eye. A bitmap is a matrix of colour values that can be represented as integers. The proposed method updates this matrix while adding new points. Thus, this matrix can be considered as an up-to-time knowledge unit of processed data. Results show cluster generation, cluster identification, missing and out-of-range data visualization, and outlier detection capability of the newly proposed method.

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“…The computations required in graphics are in essence, computations in a Clifford algebra. Indeed the use of quaternions to represent rotations is commonplace in commercial computer graphics systems, see [17]. So there is some hope that the support for Clifford algebra in future hardware may be better than it is now and hence the advantage of Clifford algebras will increase.…”

Section: Introductionmentioning

confidence: 99%

Rigid Body Dynamics Using Clifford Algebra

Selig

Bayro–Corrochano

2008

AACA

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In this paper the dynamics of rigid bodies is recast into a Clifford algebra formalism. Specifically, the algebra C (0, 6, 2), is used and it is shown how velocities, momenta and inertias can be represented by elements of this algebra. The equations of motion for a rigid body are simply derived by differentiating the momentum of the body. Mathematics Subject Classification (2000). Primary 70E15; Secondary 11E88.

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Essential Mathematics for Games and Interactive Applications

Cited by 40 publications

References 0 publications

Estimation of Environmental Lighting from Known Geometries for Mobile Augmented Reality

Estimation of Environmental Lighting from Known Geometries for Mobile Augmented Reality

Continuous Learning Graphical Knowledge Unit for Cluster Identification in High Density Data Sets

Rigid Body Dynamics Using Clifford Algebra

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