Frequency domain volume rendering

Totsuka, Takashi; Levoy, Marc

doi:10.1145/166117.166152

Cited by 118 publications

(59 citation statements)

References 17 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…For different segments of the volume data different step sizes along the ray are applied to ensure that the approximation error due to the integration scheme is less then the upper error bound, defined by the user. For the trapezoid rule the approximation error is given by: (19) where t i-1 and t i describes the intersection parameter of the viewing ray and the support region of the wavelet, denotes the stepsize of the N+1 evenly spaced parameters between t i-1 and t i and (n) denotes the n th. derivative.…”

Section: Numeric Approximationmentioning

confidence: 99%

“…Designing this method, we were inspired by both Fourier projection slicing volume rendering, such as in [13] or [19] and by splatting methods [9]. It is founded on the observation, that for many applications, as in medical imaging, X-ray like images are even superior for interactive data exploration and analysis.…”

Section: Wavelet Splatsmentioning

confidence: 99%

“…Recent approaches also include hybrid rendering methods [8], which link both paradigms. Other fundamental techniques are given with various types of transform domain volume rendering, where Fourier spaces have been explored succesfully [13], [19]. Unfortunately, beside of some computational advantages especially Fourier based methods are prone to major shortcomings regarding sampling, progressivity, filtering, local level of detail or transfer functions.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Two methods for wavelet-based volume rendering

Groß

Lippert

Dittrich

et al. 1997

Computers & Graphics

View full text Add to dashboard Cite

-This paper describes two methods for wavelet domain rendering of volume data sets, which base on entire different paradigms for the approximation of the underlying volume rendering equation. The first approach comprises a ray-tracing algorithm for cardinal B-spline wavelet representations of both color and opacity values and carries out high quality images. We especially propose elaborated integration and evaluation schemes, where the computation of shading is also performed in wavelet space. The second approach proposes a fast intensity integration method based on wavelet splats. This scheme takes advantage from the self-similarity of the basis functions and computes the required splats by Fourier projection slicing. At this point, it unifies the advantages coming along with Fourier domain and with wavelet domain rendering and it avoids some of the major artifacts the first one is prone to. Due to the computational efficiency, the splatting method allows to compute coarse approximations at interactive rates and refines the picture progressively.

show abstract

Section: Numeric Approximationmentioning

confidence: 99%

Section: Wavelet Splatsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Two methods for wavelet-based volume rendering

Groß

Lippert

Dittrich

et al. 1997

Computers & Graphics

View full text Add to dashboard Cite

show abstract

“…A number of volume rendering algorithms such as volume ray casting [3], splatting [5] [6], shear-warp [7], and frequency domain methods [8] have been presented by the research society in the past two decades. Splatting proposed by Lee Westover [5] is an object-order traversal algorithm.…”

Section: Introductionmentioning

confidence: 99%

Accelerate Volume Splatting by Using Run Length Encoding

Zhang

Sun

2003

Lecture Notes in Computer Science

View full text Add to dashboard Cite

Abstract. Methods such as splat hierarchies, indexing and lists have been presented by the research society in recently years, to accelerate the splatting, a popular volume rendering algorithm. In this paper, a run length encoding (RLE) accelerated, pre-classification and pre-shade sheet buffer volume splatting algorithm is presented, which can enhance the speed of splatting without trading off image quality. This new technique saves rendering time by employing RLE mechanism so that only voxels of interest are processed in splatting. RLE based data structures are defined to exploit spatial coherence of volume and intermediate rendering images. A fast and accurate sheet buffer splatting method is used in the rendering process, which accelerates the splatting by traversing both the voxel scanline and the image scanline in sheet buffer simultaneously. Experiments practice proves that RLE can efficiently skip over transparent voxels in splatting and high speedup can be obtained by using the proposed algorithm.

show abstract

“…[16] accomplished fast volume intensity integrations of order O(n 2 log n) by slicing and backprojecting the Fourier transform of the volume intensity function. [20] extended this concept by adding linear shading and attenuation. The most time consuming step in this method is the application of a reconstruction filter.…”

Section: Introductionmentioning

confidence: 99%

Fast Wavelet Based Volume Rendering by Accumulation of Transparent Texture Maps

Lippert¹,

Gross²

1995

Computer Graphics Forum

View full text Add to dashboard Cite

In the following paper, a new method for fast and accurate volume intensity and color integration is elaborated, which employs wavelet decompositions and texture mapping. At this point, it comprises and unifies the advantages of recently introduced Fourier domain volume rendering techniques and wavelet based volume rendering. Specifically, the method computes analytic solutions of the ray intensity integral through a single wavelet by slicing its Fourier transform and by backprojecting it into the spatial domain. The resulting slices can be considered as RGB textures where R, G, and B account for the decomposed volume color function. Due to the similarity of the basis functions, the computation of the texture map has to be figured out only once for each 3D mother wavelet. Hence, the final volume rendering procedure turns out to be a superposition of self-similar, transparent and colored textures, which is supported by modern hardware accumulation buffers. Linear shading and attenuation can be introduced by modifications of the wavelet's Fourier transform. ___________________________________________________________________________ 2The main advantages of this method are the provision of accurate solutions and quantification of error bounds, the absence of any expensive prefiltering and the independence of the computational costs from the image resolution. Furthermore, any required discretization, such as the resolution of the basis textures is defined within the computational framework of the wavelet transform. The method is not restricted to a specific type of wavelet unless is provides an analytic Fourier description, such as any B-spline wavelets do.

show abstract

Frequency domain volume rendering

Cited by 118 publications

References 17 publications

Two methods for wavelet-based volume rendering

Two methods for wavelet-based volume rendering

Accelerate Volume Splatting by Using Run Length Encoding

Fast Wavelet Based Volume Rendering by Accumulation of Transparent Texture Maps

Contact Info

Product

Resources

About