Volume rendering is a technique for visualizing sampled scalar or vector fields of three spatial dimensions without fitting geometric primitives to the data. A subset of these techniques generates images by computing 2-D projections of a colored semitransparent volume, where the color and opacity at each point are derived from the data using local operators. Since all voxels participate in the generation of each image, rendering time grows linearly with the size of the dataset. This paper presents a front-to-back image-order volume-rendering algorithm and discusses two techniques for improving its performance. The first technique employs a pyramid of binary volumes to encode spatial coherence present in the data, and the second technique uses an opacity threshold to adaptively terminate ray tracing. Although the actual time saved depends on the data, speedups of an order of magnitude have been observed for datasets of useful size and complexity. Examples from two applications are given: medical imaging and molecular graphics.

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Efficient ray tracing of volume data

An ideal visibility algorithm should a) quickly reject most of the hidden geometry in a model and b) exploit the spatial and perhaps temporal coherence of the images being generated. Ray casting with spatial subdivision does well on criterion (a), but poorly on criterion (b). Traditional Z-buffer scan conversion does well on criterion (b), but poorly on criterion (a). Here we present a hierarchical Z-buffer scan-conversion algorithm that does well on both criteria. The method uses two hierarchical data structures, an object-space octree and an image-space Z pyramid, to accelerate scan conversion. The two hierarchical data structures make it possible to reject hidden geometry very rapidly while rendering visible geometry with the speed of scan conversion. For animation, the algorithm is also able to exploit temporal coherence. The method is well suited to models with high depth complexity, achieving orders of magnitude acceleration in some cases compared to ordinary Z-buffer scan conversion. CR

/pdf/hierarchical-z-buffer-visibility-3vs3i9pb26.pdf

Hierarchical Z-buffer visibility

A pair of rendered images and their Z-buffers contain almost all of the information necessary to re-render from nearby viewpoints. For the small changes in viewpoint that occur in a fraction of a second, this information is sufficient for high quality re-rendering with cost independent of scene complexity. Re-rendering from previously computed views allows an order-of-magnitude increase in apparent frame rate over that provided by conventional rendering alone. It can also compensate for system latency in local or remote display. We use McMillan and Bishop’s image warping algorithm to re-render, allowing us to compensate for viewpoint translation as well as rotation. We avoid occlusion-related artifacts by warping two different reference images and compositing the results. This paper explains the basic design of our system and provides details of our reconstruction and multi-image compositing algorithms. We present our method for selecting reference image locations and the heuristic we use for any portions of the scene which happen to be occluded in both reference images. We also discuss properties of our technique which make it suitable for real-time implementation, and briefly describe our simpler real-time remote display system. CR

/pdf/post-rendering-3d-warping-a1ps9wnn7n.pdf

Post-rendering 3D warping

Interactive rendering requires rapid visual feedback. The render cache is a new method for achieving this when using high-quality pixel-oriented renderers such as ray tracing that are usually considered too slow for interactive use. The render cache provides visual feedback at a rate faster than the renderer can generate complete frames, at the cost of producing approximate images during camera and object motion. The method works both by caching previous results and reprojecting them to estimate the current image and by directing the renderer's sampling to more rapidly improve subsequent images.

Our implementation demonstrates an interactive application working with both ray tracing and path tracing renderers in situations where they would normally be considered too expensive. Moreover we accomplish this using a software only implementation without the use of 3D graphics hardware.

/pdf/interactive-rendering-using-the-render-cache-5figctcvgn.pdf

Interactive rendering using the render cache

Most current image-based rendering methods operate under the assumption that all of the visible surfaces in the scene are opaque ideal diffuse (Lambertian) reflectors. This paper is concerned with image-based rendering of non-diffuse synthetic scenes. We introduce a new family of image-based scene representations and describe corresponding image-based rendering algorithms that are capable of handling general synthetic scenes containing not only diffuse reflectors, but also specular and glossy objects. Our image-based representation is based on layereddepth images. It represents simultaneously and separately both view-independent scene information and view-dependent appearance information. The view-dependent information may be either extracted directly from our data-structures, or evaluated procedurally using an image-based analogue of ray tracing. We describe image-based rendering algorithms that recombine the two components together in a manner that produces a good approximation to the correct image from any viewing position. In addition to extending image-based rendering to non-diffuse synthetic scenes, our paper has an important methodological contribution: it places image-based rendering, light field rendering, and volume graphics in a common framework of discrete raster-based scene representations.

/pdf/image-based-rendering-for-non-diffuse-synthetic-scenes-jgugsor20h.pdf

Image-Based Rendering for Non-Diffuse Synthetic Scenes

The basic ray-tracing algorithm is adapted to make ray-tracing faster for the production of motion pictures. Two algorithms are presented. The image space temporal coherence algorithm takes advantage of the fact that motion picture images do not change very much from frame to frame. The reprojection algorithm uses information about the object space saved from the previous frame to accelerate the processing of the current frame. The reprojection algorithm is used when the viewpoint of the current frame is changed by a small amount from the viewpoint of the previous frame.

Sig Badt

Papers

Two algorithms for taking advantage of temporal coherence in ray tracing