Exploratory analysis of scalar fields on surface meshes presents significant challenges in identifying and visualizing important regions, particularly on the surface's backside. Previous visualization methods achieved only a limited visibility of significant features, i.e., regions with high or low scalar values, during interactive exploration. In response to this, we propose a novel technique, InverseVis, which leverages curved sphere tracing and uses the otherwise unused space to enhance visibility. Our approach combines direct and indirect rendering, allowing camera rays to wrap around the surface and reveal information from the backside. To achieve this, we formulate an energy term that guides the image synthesis in previously unused space, highlighting the most important regions of the backside. By quantifying the amount of visible important features, we optimize the camera position to maximize the visibility of the scalar field on both the front and backsides. InverseVis is benchmarked against state-of-the-art methods and a derived technique, showcasing its effectiveness in revealing essential features and outperforming existing approaches.

翻译：在表面网格上对标量场进行探索性分析时，识别和可视化重要区域（尤其是表面背侧区域）面临重大挑战。以往的可视化方法在交互式探索过程中，仅能实现对重要特征（即具有高或低标量值的区域）的有限可见性。为此，我们提出了一种新技术——InverseVis，该技术利用弯曲球面追踪并借助其他未被使用的空间来增强可见性。我们的方法结合了直接与间接渲染，允许相机光线环绕表面并揭示背侧信息。为实现这一目标，我们构建了一个能量项，用于引导图像在先前未使用的空间中进行合成，从而突出背侧最重要的区域。通过量化可见重要特征的数量，我们优化相机位置以最大化标量场在正反两面的可见性。InverseVis 与最先进的方法及一项衍生技术进行了基准测试，结果证明了其在揭示关键特征方面的有效性，并优于现有方法。