cs.CVMay 11, 2026

The Cartesian Shortcut: Re-evaluate Vision Reasoning in Polar Coordinate Space

Authors: Xia HuZhenrui YueBrian PotetzHoward ZhouLeonidas GuibasChun-Ta LuZhicheng Wang

Organizations: Google DeepMind · Stanford University · Google Research

Abstract

As current Multimodal Large Language Models rapidly saturate canonical visual reasoning benchmarks, a key question emerges: do these strong scores genuinely reflect robust visual understanding? We identify a pervasive vulnerability, the Cartesian Shortcut: visual reasoning benchmarks prevalently build on orthogonal grid-based layouts that can be readily discretized into explicit textual coordinates. Models systematically exploit this property, heavily leveraging text-based deductive reasoning to assist visual problem-solving. To systematically dismantle this shortcut, we introduce Polaris-Bench, which re-formulates 53 visual reasoning tasks in Polar coordinate space with paired Cartesian counterparts as reference, while preserving consistent logical constraints and task semantics -- thus fundamentally breaking the orthogonal prior that models exploit. Comprehensive evaluation across 1414 state-of-the-art MLLMs reveals that frontier models achieving 7070--83%83\% on Cartesian layouts collapse to 3131--39%39\% on Polar equivalents, with degradation persisting even under complete logical equivalence. Moreover, reasoning gains observed on Cartesian layouts are severely diminished on Polar equivalents. These findings expose a critical deficiency in current MLLMs: the lack of topology-invariant visual reasoning.

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