Heatmap

A heatmap represents a one-dimensional or spatial distribution of values, often derived from discrete, sparse measurements that are transformed into a continuous field. This transformation—commonly achieved through methods such as kriging, kernel density estimation (KDE), or other interpolation techniques—creates a smooth surface from scattered data points, revealing gradients, clusters, and anomalies that might otherwise remain hidden.

While these computational methods are often black boxes, visual analytics allows users to open them: to explore parameters, evaluate uncertainty, and understand how algorithmic choices shape the resulting surface. Through interactive visualization, users can iteratively adjust model assumptions, observe their effects in real time, and combine computational inference with domain knowledge.

In this sense, heatmaps are not just visual summaries—they become interfaces for reasoning about data continuity, density, and spatial relationships. By exposing the analytic process itself, visual analytics turns heatmap generation from a static output into a dynamic, knowledge-driven exploration of how discrete data gives rise to continuous insight.


See the video below…

Watch Kernel Density Estimate (KDE) at work, and how small changes in the properties of the kernel can alter display and reveal different logcal and global properties of the spatial distribution

Kernel Density Estimation (KDE) converts discrete point data into a continuous density surface by spreading each observation using a kernel function. The resulting field reveals hotspots and gradients that reflect underlying distribution patterns. Interactive adjustment of bandwidth or kernel shape in visual analytics helps the users to reason about scale, smoothness, and the sensitivity of observed patterns.

Watch how Krigging can support reasoning by changing properties of the algorithm interactively

Kriging is a geostatistical interpolation method that estimates values at unsampled locations based on spatial autocorrelation among known points. It models both local variation and global trends, producing an optimally smooth continuous field with uncertainty estimates. In visual analytics, interactive control over variogram parameters or neighborhood selection allows users to refine these assumptions and better understand spatial dependencies.

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