Exact Apparent Motion via Eulerian Flow Maps: Real-Time Animated Streamlines for Immersive Exploration

Institution Name
Conferance name and year

*Indicates Equal Contribution

Abstract

Streamlines are a fundamental representation for flow visualization, enabling analysis of internal flow structures, transport phenomena, and vortical behavior in complex vector fields. Extending this technique into extended reality (XR) environments introduces new opportunities for situated, embodied exploration of large-scale computational fluid dynamics (CFD) datasets. However, existing approaches predominantly address seed placement and occlusion management, while real-time rendering of dense animated streamlines and physically consistent motion encoding remain underexplored, especially in immersive settings where optical flow sensitivity and spatial presence mutually reinforce analytic interpretation. To address these challenges, we propose a novel real-time animated streamline approach integrated into an interactive XR platform, enabling the progressive and insight-driven exploration of large-scale flow datasets. At its core, the method introduces an Eulerian Flow Map algorithm coupled with spacetime parallelism, leveraging pixel-wise temporal phase shifts for motion alignment to seamlessly capture the continuous evolution of streamlets, supported by rigorous proofs. Accelerated by GPU computing, our approach enables rendering hundreds of millions of dynamic streamlets, achieving an exact apparent motion that faithfully represents the underlying physical flow velocity and direction. Furthermore, the method supports versatile motion patterns and advanced rendering features, tunable via multi-parameter controls to facilitate uncertainty perception. Ultimately, we provide diverse engineering implementations of our method, contributing to the establishment of a powerful and intuitive framework for deciphering complex flow behaviors and advancing insights into fluid fields.

Multi-Level Parallelism for Immersive Flow Exploration:
Interactive Seeding (CPU) and Animation Rendering (GPU)

Dense Fine Streamlets Animation

Accuracy of Speed Representation for Adaptive RK Methods

MY ALT TEXT

Large step sizes fail to converge near vortices to capture vortex cores, while small step sizes generate excessive primitives that sharply increase the rendering load.

MY ALT TEXT

Adaptive step-size integration dynamically adjusts the step size based on truncation errors, achieving geometrically accurate streamlines while minimizing primitive counts.

Spurious velocity variations in vortical flow arising from erroneous motion mapping.

Visual uncertainty introduced by different variable mappings. The time-step-aware mapping guarantees perceptually faithful apparent motion, which is rigorously established through the mathematical formulation presented in this paper.

Apparent Motion and Eulerian Animation

Another Carousel

Interactive XR Platform

Other Rendering Features

Poster

Applications

Icon

A Simple App Available for Quest!

version: v0.20 | update: 2025-01-19 | developer: Anonymous

📱 Download APK
File size 215 MB
Download times 0
Compatibility Quest 3/ Quest 3s

Multi-Domain Support for Unstructured Grid

Wind Climate.

Hemodynamics.

BibTeX

BibTex Code Here