**복소함수 시각화 발표 후기** **30314 이도이, aka ywbird** 동기 =============================================================================== 최근 미적분을 배우면서 $e^x$, $\sin x$, $\cos x$ 등의 테일러 급수를 사용한 명확한 정의를 배웠고, 여기에 복소수를 넣어보고싶다는 생각을 했고, 여기에서 나아가 복소함수의 시각화에 관심을 가지게 되었다. [2026 01 28 제작한 3d 그래프](https://viz.meliplug.info/eulers-formula/3d-sin.html target="_blank") ![](data:image/webp;base64,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 width="300px" border="2px") [2026 03 09 작성한 블로그 글](https://meliplug.info/fleets/1480594242412744744/) [2026 03 23 작성한 SNS 글](https://bsky.app/profile/ywbird.bsky.social/post/3mhnvdi7hyc2h) 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20260330 2회차 금요학술포럼에 해당 주제를 신청하고 난 뒤, 아래 영상을 발견했다.



금요학술포럼 주제는 비교적 참신한, 그러니까 내가 생각해낸 주제에서 확장하여 관련 주제를 찾아서 발표하는걸 선호하는데, 발표 주제를 최근 유튜브 보고 베껴왔다는 오해는 피하고 싶었기 때문에... 하지만 위의 영상에서 이미지를 z-w plane에 넣을 아이디어를 얻었다. 강조 =============================================================================== 이번 발표에서는 서로 달라 보이는 시각화 기법들이 사실은 복소함수라는 하나의 수학적 본질을 공유하고 있음을 시각적으로 보여주기 위해 노력헀다. 이미지 시각화 ------------------------------------------------------------------------------- * **다양한 도메인 컬러링 시각화**: 함숫값을 HSL 색상 체계에 매핑하여 시각화했으며, 시그모이드(Sigmoid) 함수나 모듈러(Modulo) 연산을 활용한 **직교 좌표계 방식부터 극좌표 방식까지 다채로운 기법**을 구현했다. ![descartes quadratic sigmoid](data:image/webp;base64,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 width="300px") * **z-w 평면의 공간 및 이미지 변환**: 입력 점 $z$를 함숫값 $w$의 위치로 이동시키는 z-w 평면 변환을 시뮬레이션했다. 특히 격자점뿐만 아니라 실제 이미지를 함수에 통과시켜 '구기는' 과정을 통해 복소함수가 공간을 왜곡하는 이미지를 생성했다. **또한 z-w plane 변환 과정을 보간하여 시각화하였다.** ![sqr](data:image/webp;base64,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 width="300px") 리만 곡선 3D 모델 ------------------------------------------------------------------------------- 로그($\ln z$)나 제곱근($\sqrt{z}$) 함수 시각화 시 발생하는 정보의 단절인 branch cut 문제를 해결하기 위해 **3D 리만 곡면 모델**을 제작했다. 이를 통해 평면에서 겹치거나 끊겨 보이던 함숫값들이 공간상에서 어떻게 연속적으로 연결되는지 시각화했다. ![sqr](data:image/webp;base64,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 width="300px") Domain Coloring과 Z-W Plane 관계 발견 ------------------------------------------------------------------------------- **z-w 평면에서 이미지가 왜곡된 형태는 3D 리만 곡면 모델을 수직으로 내려다본(Top-view) 투영도와 완벽히 일치했다. 또한 역함수($f^{-1}$)를 이용해 UV 맵 상에 z-w 평면을 생성할 경우 도메인 컬러링과 동일한 시각적 결과가 도출됨을 확인했다.**